A car driving at 35.0 m/s takes 26 minutes to travel a certain distance according to the drivers clock in the car. How long does the trip take according to an observer at rest on Earth?
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Expert's answer
2015-05-14T03:48:09-0400
Solution: Given: v=35 m/s t = 26 min = 26*60 = 1560 s Needs to find t'-?
Solution: t'=t/sqrt(1- (v/c)^2)
Calculation in MATLAB >> format long >> 1560/sqrt(1 - (35/299792458)^2)
ans =
1.560000000000011e+03
>> 1560/sqrt(1 - (35/299792458)^2)
ans =
1.560000000000011e+03
>> 1560/sqrt(1 - (35/299792458)^2) - 1560
ans =
1.068656274583191e-11 Answer is 1.068656274583191e-11
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